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If we start with an initial y(x, t=0) we can represent the initial profile as a sum of sinusoids, and then sum up the the trivial evolutions of all components - as explained in the video below.
But if we start with a narrow pulse propagating in one direction and bouncing back and forth, is it possible to do the same? If yes, how to calculate the contributions of different sinusoidal modes in this case?
But if we start with a narrow pulse propagating in one direction and bouncing back and forth, is it possible to do the same? If yes, how to calculate the contributions of different sinusoidal modes in this case?
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